Bing Wang（王兵）

Bing Wang（王兵）

Publications

  1. Rigidity of the first Betti number via Ricci flow smoothing, (in collaboration with S.S.Huang), SCIENCE CHINA Mathematics (2025), online publication.

  2. Some Topics in the Ricci Flow, (in collaboration with X.X.Chen), Journal of Mathematical Study, vol.57 (2024), 379-397.

  3. Heat kernel on Ricci shrinkers (II), (in collabration with Y. Li), Acta Mathematica Scientia, vol.44(2024), no.B5, 1639-1695.

  4. Rigidity of the round cylinders in Ricci shrinkers, (in collabration with Y. Li), Journal of Differential Geometry, vol.127(2024), no.2, 817-897.

  5. Ricci curvature integrals, local functionals, and the Ricci flow, (in collabration with Y.Q. Ma), Transactions of the American Mathematical Society, Series B, vol.10(2023), 944-987.

  6. Canonical diffeomorphisms of manifolds near spheres, (in collabration with X.R. Zhao), The Journal of Geometric Analysis, vol.33(2023), no.304, 1-31.

  7. Ricci flow smoothing for locally collapsing manifolds , (in collabration with S.S. Huang), Calculus of Variations and Partial Differential Equations, vol.61(2022), no.2, article 64.

  8. On Ilmanen’s multiplicity one conjecture for mean curvature flow with type-I mean curvature, (in collabration with H.Z. Li), Journal of European Mathematical Society, vol.24(2022), no.1, 37-135.

  9. On the structure of Ricci shrinkers, (in collabration with H.Z. Li and Y. Li), Journal of functional analysis, vol.280(2021), no.2021, 108955.

  10. ​​On the regular-convexity of Ricci shrinker limit spaces, (in collaboration with S.S. Huang, Y Li), Journal für die reine und angewandte Mathematik, vol.771(2021), no.2021, 99-136.

  11. Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing, (in collabration with S.S. Huang and X.C. Rong), Symmetry, Integrability and Geometry: Methods and Applications(SIGMA), vol.16(2020), no.123, 25.

  12. ​​Heat Kernel on Ricci Shrinkers, (in collabration with Y. Li), Calculus of Variations and Partial Differential Equations, vol.59(2020), no.6, 1-84.

  13. Space of Ricci flows(II)—part B: weak compactness of the flows, (in collabration with X.X.Chen), Journal of Differential Geometry, vol.116(2020), no.1, 1-123.

  14. Remarks of weak-compactness along Kähler Ricci flow, (in collabration with X.X.Chen), Proceedings of the 7th International Congress of Chinese Mathematicians, vol.1(2019), 203-234.

  15. The extension problem of the mean curvature flow(I), (in collaboration with H.Z. Li), Inventiones Mathematicae, vol.218 (2019), no.3, 721-777.

  16. Rigidity of Vector Valued Harmonic maps of linear growth, (in collaboration with S.S. Huang), Geometriae Dedicata, vol.202(2019), no.1, 357-371.

  17. The Rigidity of Ricci shrinkers of dimension four, (in collabration with Y. Li), Transactions of American Mathematical Society, vol.371(2019), 6949-6972.

  18. The local entropy along Ricci flow—part A: the no-local-collapsing theorems, Cambridge Journal of Mathematics, vol.6(2018), no.3, 267-346.

  19. Kähler-Ricci flow, Kähler-Einstein metric and K-stability, (in collaboration with S. Sun, X.X.Chen), Geometry and Topology, vol.22(2018), no.6, 3145-3173.

  20. Regularity scales and convergence of the Calabi flow, (Correction of acknowledgement, adding a research fund used for this study), (in collabration with H.Z. Li, K. Zheng), The Journal of Geometric Analysis, vol.28(2018), no.3, 2050-2101.

  21. Space of Ricci flows(II)—part A: moduli of singular Calabi-Yau space,(in collaboration with X.X.Chen), Forum of Mathematics, Sigma, vol.5(2017), e32.

  22. On the structure of almost Einstein manifolds,(in collaboration with G.Tian), Journal of American Mathematical Society, vol.28(2015), no.4, 1169-1209.

  23. On the conditions to extend Ricci flow(III),(in collaboration with X.X.Chen), International Mathematics Research Notices, vol.2013(2013), no.10, 2349-2367.

  24. On the conditions to extend Ricci flow(II), International Mathematics Research Notices, vol.2012(2012), no.14, 3192-3223.

  25. Space of Ricci flows(I),(in collaboration with X.X.Chen), Communications in Pure and Applied Math, vol.65(2012), no.10, 1399-1457.

  26. The Kähler Ricci flow on Fano manfiolds (I),(in collaboration with X.X.Chen), Journal of European Mathematical Society, vol.14(2012), no.6, 2001-2038.

  27. The Kähler Ricci flow on Fano surfaces (I),(in collaboration with X.X.Chen), Mathematische Zeitschrift, vol.270(2012), no.1-2, 577-587.

  28. Remarks on Kähler Ricci flow,(in collaboration with X.X.Chen), The Journal of Geometric Analysis, vol.20(2010), no.2, 335-353.

  29. Kähler–Ricci flow With small initial energy,(in collaboration with X.X.Chen, H.Z. Li), Geometric and Functional Analysis, vol.18(2009), 1525-1563.

  30. On the conditions to extend Ricci flow, International Mathematics Research Notices, vol.2008(2008), no.rnn012.

  1. On Kähler Ricci shrinker surfaces, (in collaboration with Y. Li), arXiv:2301.09784, to appear in Acta Math.

  2. The local entropy along Ricci flow—Part B: the pseudo-locality theorems, arXiv:2010.09981, submitted.

  3. Space of Ricci flows (II) (in collaboration with X.X. Chen), arXiv:1405.6797. This paper studies the convergence of Kähler Ricci flow on Fano manifolds in general dimension. It is published separately as Part A and Part B with further details. A streamlined proof is also presented here, along with some related comments.

  4. Ricci flow on orbifold, arXiv:1003.0151.